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arXiv · 1004.4337

"Divergent" Ramanujan-type supercongruences

Jesús Guillera·Wadim Zudilin
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Abstract

"Divergent" Ramanujan-type series for $1/\pi$ and $1/\pi^2$ provide us with new nice examples of supercongruences of the same kind as those related to the convergent cases. In this paper we manage to prove three of the supercongruences by means of the Wilf--Zeilberger algorithmic technique.

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Jesús Guillera, Wadim Zudilin. 2010-04-25. "Divergent" Ramanujan-type supercongruences. https://doi.org/10.1090/s0002-9939-2011-10950-x

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